Information on Result #691561
Linear OA(16126, 1048581, F16, 27) (dual of [1048581, 1048455, 28]-code), using construction X applied to Ce(26) ⊂ Ce(25) based on
- linear OA(16126, 1048576, F16, 27) (dual of [1048576, 1048450, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(16121, 1048576, F16, 26) (dual of [1048576, 1048455, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(160, 5, F16, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(16126, 524290, F16, 2, 27) (dual of [(524290, 2), 1048454, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(16126, 80660, F16, 27, 27) (dual of [(80660, 27), 2177694, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |